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Find the equations of the lines whose in...

Find the equations of the lines whose intercepts are the roots of the equation `4x^(2) - 3x - 1 = 0` .

Text Solution

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The correct Answer is:
`(x)/(1) + (y)/(-(1)/(4)) =1` or `(x)/(-(1)/(4)) + (y)/(1) = 1`
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Knowledge Check

  • Find the equation whose roots are square of the roots of the equation x^3-2x^2+3x+1=0

    A
    `x^3+2x^2+13x-1=0`
    B
    `x^3-13x^2+2x-1=0`
    C
    `x^3+3x^2-12x-1=0`
    D
    `-x^3+2x^2+13x+1=0`

  • Find the equation whose roots are negative of the roots of the equation x^(3)-3x^2+x+1=0

    A
    `x^3+3x^2+x-1=0`
    B
    `x^3-3x^2+x-1=0`
    C
    `x^3+3x^2-x-1=0`
    D
    `-x^3+3x^2+x+1=0`

  • If the slope and the y-intercept of a line are the roots of the equation x^(2) - 7 x - 18 = 0 , then the equation of the line can be "_______" .

    A
    `2x + y - 9 = 0 `
    B
    `2x - y + 9 = 0`
    C
    `9 x + y + 2 = 0`
    D
    `9 x + 2y - 2 = 0`

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    Find the equation of the straight line whose intercepts on the axes are twice the intercepts of the straight line 3x+4y=6 .

    Find the quadratic equation whose roots are reciprocals of the roots of the equation 7x^(2) - 2x +9 = 0 .

    The equation whose roots are nth power of the roots of the equations is x^(2) - 2 x cos theta + 1 = 0 is given by

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